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rusak2 [61]
3 years ago
10

Find the area of the figure. (20 pts)

Mathematics
2 answers:
castortr0y [4]3 years ago
5 0
To find the area of an object, multiply the width and the height
Ira Lisetskai [31]3 years ago
3 0

Answer:

d. 122 units^2

Step-by-step explanation:

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A rancher wishes to build a fence to enclose a rectangular pen having area 24 square yards. Along one side the fence is to be ma
Gnoma [55]

Answer:

The  value  is  C \approx \$76

Step-by-step explanation:

From the question we are told that

   The  area of the rectangular pen is  A =  24 \ yard^2

     The  cost of material used to make one side is  z = \$ 6

    The  cost of material used to make the other sides is  r  =  \$ 3

Now  , the fence to be build around the rectangular pen  has four sides, the first opposite sides are equal, let assume each of the to be x yard   and the other opposite sides are also equal as well let assume of the to be y yard

So the cost is mathematically represented as

       C =  zx  +  r (x + 2y )

=>   C =  6x  +  3(x + 2y)

=>   C =   9x  +  6y

Now the area of the fence is mathematically represented as

      A =  x* y =  24

=>    y  =  \frac{24}{x}

=>  C =   9x  +  6[\frac{24}{x} ]

=>   C =   9x  +  [\frac{144}{x} ]

Now differentiating

     C'  =  9 + 144*  (-2) x^{-2}

     C'  =  9 - 288x^{-2}

At minimum C' =  0

So  

     9 - 288x^{-2} =  0

     x^{-2} =  0.03125

    x =  \sqrt{\frac{1}{0.03125} }

    x =  5.66

Now substituting for x in the equation above to obtain minimum cost

       C =   9(5.66)  +  [\frac{144}{5.66} ]

       C \approx \$76

   

 

8 0
3 years ago
HELP EASY PROBABLILITY QUESTION!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
ella [17]

Answer:

0.43

Step-by-step explanation:

2+3+1+1=7

7*4+28==Area of full shape

(2*4)+(1*4)=12==Area of shaded shapes

12/28=0.428571>rounded up>0.43

3 0
3 years ago
Read 2 more answers
What is the quotient of 59,584 ÷ 14?
zloy xaker [14]

Answer:

B

Step-by-step explanation:

We can divide using the calculator by entering in 59, 584 first followed by 14 before the division sign.

We can also perform long division:

       __<u>4256_</u>____

 14  |   59, 584

        <u>  -56__</u>__

              35

           <u>   -28____</u>

               78

             <u> -70_</u>___

                 84

             <u>   -84_</u>___

                   0

3 0
3 years ago
HELPPPPPPPPPPP PLEASEEEEEEE <br> What point does the line pass through?
Lina20 [59]

Answer:

It passes through (1,1).

5 0
3 years ago
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last year, Nicole biked n miles. This year, she biked 524 miles. Using n, write an expression for the total number of miles she
Fittoniya [83]

Answer:

n+524

Step-by-step explanation:

you add both years worth of biking together!

7 0
2 years ago
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